0.14(y-8)+0.04y=0.16y-0.05(20)

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Solution for 0.14(y-8)+0.04y=0.16y-0.05(20) equation: 


Simplifying
0.14(y + -8) + 0.04y = 0.16y + -0.05(20)

Reorder the terms:
0.14(-8 + y) + 0.04y = 0.16y + -0.05(20)
(-8 * 0.14 + y * 0.14) + 0.04y = 0.16y + -0.05(20)
(-1.12 + 0.14y) + 0.04y = 0.16y + -0.05(20)

Combine like terms: 0.14y + 0.04y = 0.18y
-1.12 + 0.18y = 0.16y + -0.05(20)

Multiply -0.05 * 20
-1.12 + 0.18y = 0.16y + -1

Reorder the terms:
-1.12 + 0.18y = -1 + 0.16y

Solving
-1.12 + 0.18y = -1 + 0.16y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.16y' to each side of the equation.
-1.12 + 0.18y + -0.16y = -1 + 0.16y + -0.16y

Combine like terms: 0.18y + -0.16y = 0.02y
-1.12 + 0.02y = -1 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-1.12 + 0.02y = -1 + 0.00
-1.12 + 0.02y = -1

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 0.02y = -1 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 0.02y = -1 + 1.12
0.02y = -1 + 1.12

Combine like terms: -1 + 1.12 = 0.12
0.02y = 0.12

Divide each side by '0.02'.
y = 6

Simplifying
y = 6

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